All Problems

Elementary Particles

Problem 6.300

\(6.300 .\) A \(\Sigma^{+}\) hyperon with kinetic energy \(T_{\Sigma}=320 \mathrm{MeV}\) disintegrated during its flight into a neutral particle and a positive pion outgoing with kinetic energy \(T_{\pi}=42 \mathrm{MeV}\) at right angles to the hyperon's motion direction. Find the rest mass of the neutral particle (in MeV units).

Reveal Answer
m=mΣ2+mπ2−2(mΣ+TΣ)(mπ+Tπ)=0.94GeVneutronm=\sqrt{m_{\Sigma}^{2}+m_{\pi}^{2}-2\left(m_{\Sigma}+T_{\Sigma}\right)\left(m_{\pi}+T_{\pi}\right)}=0.94 \mathrm{GeV} \text{neutron}
Prev
Next